Find the length of ML. The drawings are not to scale. Please make sure to show all work in order to get full credit for the problem.
QNR~MNL
QR is 20
QN is 56
NR is 48
MN is 60
NL is 70
Since QNR ~ MNL, we have the following ratios:
QR/QN = MN/ML and NR/QN = NL/ML
Substituting the given values:
20/56 = 60/ML and 48/56 = 70/ML
Simplifying the equations:
20/56 = 15/ML and 48/56 = 70/ML
Cross-multiplying:
20 * ML = 56 * 15 and 48 * ML = 56 * 70
Simplifying further:
ML = (56 * 15) / 20 and ML = (56 * 70) / 48
Calculating:
ML = 840 / 20 and ML = 3920 / 48
ML = 42 and ML ≈ 81.67
Therefore, the length of ML can be either exact 42 or approximated as 81.67.